{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "f1a7685d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "import librosa\n",
    "import soundfile as sf\n",
    "\n",
    "import sys \n",
    "import os\n",
    "sys.path.append(\"D:\\\\Electronic\\\\2022E\")\n",
    "\n",
    "from Algorithm.GCC import gcc_phat\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "9f156f9c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 信号采样率\n",
    "SAMPLE_RATE = 44100.0\n",
    "# 空气中的音速（m/s）为单位\n",
    "V = 340.0\n",
    "# 麦克风之间的距离\n",
    "D = 1.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "68d62224",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 读取0通道WAV文件\n",
    "audio_path = \"C:\\\\Users\\\\AL\\\\Desktop\\\\bisai\\\\test\\\\未命名.wav\"\n",
    "y, sr = librosa.load(audio_path, sr=None, mono=False)  # mono=False保留所有通道\n",
    "\n",
    "y0 = y[0]\n",
    "y1 = y[-1]\n",
    "\n",
    "N = len(y0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "eb9263eb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1becd1a9088>]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y0, label='Channel 0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "ff67c75c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1becd22e288>]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(y1, label='Channel 1')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "97026f5d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1becd2ad3c8>]"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 归一化互相关算法，这个在CMSIS-DSP有对应函数实现\n",
    "sig_correlation = np.correlate(y0,y1,mode='full') / N\n",
    "plt.plot(sig_correlation)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "6033bef9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.5879166666666666"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 计算到达时差\n",
    "max_index = sig_correlation.argmax()\n",
    "time_diff = (max_index - N) / 48000\n",
    "# 计算到达距离差\n",
    "distance_diff = time_diff * V\n",
    "distance_diff"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "pycharm",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
